2231432000 has 112 divisors (see below), whose sum is σ = 6315748608. Its totient is φ = 765043200.

The previous prime is 2231431973. The next prime is 2231432003. The reversal of 2231432000 is 2341322.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×2231432000³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2231432000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231432003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36077 + ... + 75923.

Almost surely, 2^2231432000 is an apocalyptic number.

2231432000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157874304).

2231432000 is an abundant number, since it is smaller than the sum of its proper divisors (4084316608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2231432000 is an equidigital number, since it uses as much as digits as its factorization.

2231432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39881 (or 39861 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2231432000 is about 47238.0355222357. The cubic root of 2231432000 is about 1306.7561487149.

Adding to 2231432000 its reverse (2341322), we get a palindrome (2233773322).

The spelling of 2231432000 in words is "two billion, two hundred thirty-one million, four hundred thirty-two thousand".